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Finding the Third Proportional to 37,608 and 56,001

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Solution

The third proportional to 37,608 and 56,001 is: 83,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,608 : 56,001 = 56,001 : x
  2. Step 2: Convert to fraction form
    37,608/56,001 = 56,001/x
  3. Step 3: Cross multiply
    37,608x = 56,001 × 56,001
  4. Step 4: Simplify right side
    37,608x = 3,136,112,001
  5. Step 5: Solve for x
    x = 3,136,112,001/37,608
  6. Step 6: Final answer
    x = 83,389.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.